If \(\Phi (r)\)  represents the profile of a particle in the potential \(V\) , then Eq. (REF ) can be treated as the classical equation of motion, which can be solved by the traditional overshooting/undershooting method [1]}.
In this work, we employ the \(\textsf {CosmoTransitions~2.0.2}\)  package [2]} to perform the numerical calculations of
the bubble profile and Euclidean action. Afterwards, we use Eq. (REF ) to determine the nucleation temperature \(T_{n}\) .
